most recent 30 from http://mathoverflow.net 2013-05-25T09:15:41Z http://mathoverflow.net/feeds/question/85803 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/85803/perfect-forms-equivalent-to-minkowski-extreme-forms Kap 2012-01-16T12:31:39Z 2012-02-23T11:35:04Z

<p>I have encountered a theorem stating that a perfect quadratic form is equivalent to a quadratic form lying on some extreme ray of the Minkowski reduction domain. Now I am wondering whether a perfect form (in the Ryshkov polyhedron) is always equivalent (unimodular equivalence) to a form that is a vertex of the Minkowski domain? Are there perfect forms, when after being Minkowski reduced, correspond to a form in the Minkowski domain that is not a vertex in the domain? Thanks in advance.</p>

http://mathoverflow.net/questions/85803/perfect-forms-equivalent-to-minkowski-extreme-forms/89273#89273 Mathieu Dutour Sikiric 2012-02-23T11:35:04Z 2012-02-23T11:35:04Z

<p>no, this cannot happen.</p>